Electroosmotic oscillatory flow of micropolar fluid in microchannels： application to dynamics of blood flow in microfluidic devices

• Published in: Applied mathematics and mechanics 2014-06, Vol.35 (6), p.749-766
• Main Authors: Misra, J. C., Chandra, S., Shit, G. C., Kundu, P. K.
• Format: Article
• Language: English
• Subjects: Amplitudes; Applications of Mathematics; Classical Mechanics; Devices; Dynamics; Fluid flow; Fluid- and Aerodynamics; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Microchannels; Micropolar fluids; Partial Differential Equations
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-014-1827-6

The electroosmotic flow of a micropolar fluid in a microchannel bounded by two parallel porous plates undergoing periodic vibration is studied. The equations for conservation of linear and angular momentums and Gauss＇s law of charge distribution are solved within the framework of the Debye-Hückel approximation. The fluid velocity and microrotation are assumed to depend linearly on the Reynolds number. The study shows that the amplitude of microrotation is highly sensitive to the changes in the magnitude of the suction velocity and the width of the microchannel. An increase in the micropolar parameter gives rise to a decrease in the amplitude of microrotation. Numerical estimates reveal that the microrotation of the suspended microelements in blood also plays an important role in controlling the electro-osmotically actuated flow dynamics in microbio-fluidic devices.